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Hamiltonian ADM Gravity in Non-Harmonic Gauges with Well Defined Non-Euclidean 3-Spaces: How Much Darkness can be Explained as a Relativistic Inertial Effect?

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Cosmology, Quantum Vacuum and Zeta Functions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 137))

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Abstract

In special and general relativity the synchronization convention of distant clocks may be simulated with a mathematical definition of global non-inertial frames (the only ones existing in general relativity due to the equivalence principle) with well-defined instantaneous 3-spaces. For asymptotically Minkowskian Einstein space-times this procedure can be used at the Hamiltonian level in the York canonical basis, where it is possible for the first time to disentangle tidal gravitational degrees of freedom from gauge inertial ones. The most important inertial effect connected with clock synchronization is the York time 3K(τ,σr), not existing in Newton gravity. This fact opens the possibility to describe some aspects of darkness as a relativistic inertial effect in Einstein gravity by means of a Post-Minkowskian reformulation of the Celestial Reference System ICRS.

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  1. Sezione INFN di Firenze, Polo Scientifico, Via Sansone 1, 50019, Sesto Fiorentino, FI, Italy

    Luca Lusanna

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  1. Luca Lusanna
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Correspondence to Luca Lusanna .

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  1. , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, 08193, Spain

    Sergey D. Odintsov

  2. , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, 08193, Spain

    Diego Sáez-Gómez

  3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Barcelona, 08034, Spain

    Sebastian Xambó-Descamps

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Lusanna, L. (2011). Hamiltonian ADM Gravity in Non-Harmonic Gauges with Well Defined Non-Euclidean 3-Spaces: How Much Darkness can be Explained as a Relativistic Inertial Effect?. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_19

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  • DOI: https://doi.org/10.1007/978-3-642-19760-4_19

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